Q. Which equation has the solution x=6 ?2x+9=−214x−6=185x+3=195x+9=64
Identify Equation: We need to find which equation has the solution x=6. To do this, we will substitute x=6 into each equation and see which one holds true.
Equation 1 Substitution: Substitute x=6 into the first equation: 2x+9=−21.Calculation: 2(6)+9=12+9=21.Check if 21 equals −21.21 is not equal to −21.
Equation 2 Substitution: Substitute x=6 into the second equation: 4x−6=18.Calculation: 4(6)−6=24−6=18.Check if 18 equals 18.18 is equal to 18, so this equation could be the correct one.
Equation 3 Substitution: Substitute x=6 into the third equation: 5x+3=19.Calculation: 5(6)+3=30+3=33.Check if 33 equals 19.33 is not equal to 19.
Equation 4 Substitution: Substitute x=6 into the fourth equation: 5x+9=64.Calculation: 5(6)+9=30+9=39.Check if 39 equals 64.39 is not equal to 64.